Question

use the figure to complete the proportion.

1. \\(\frac{eb}{fa} = \frac{?}{fg}\\)

?=\\(square\\)

Explanation:

Step1: Identify basic proportionality theorem

When three parallel lines are cut by two transversals, the segments created on one transversal are proportional to the corresponding segments on the other transversal.

Step2: Match proportional segments

From the figure, $\frac{EB}{FA}$ corresponds to $\frac{ED}{FG}$ by the theorem.

Answer:

$ED$